Is 8000 a prime number?
No, 8000 is not a prime number. It is divisible by 2: 8000 = 2 × 4000.
Is 8000 prime?
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A prime number has exactly two factors: 1 and itself.
- 2
It is enough to test the primes up to √8000 ≈ 89.44. If none of them divides 8000, it is prime.
- 3
2 divides 8000 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 8000 = 2^{6} \times 5^{3} \]Testing 8000 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 8000 ÷ 2 | divides exactly (4000) |
| 3 | 8000 ÷ 3 | leaves 2 |
| 5 | 8000 ÷ 5 | divides exactly (1600) |
| 7 | 8000 ÷ 7 | leaves 6 |
| 11 | 8000 ÷ 11 | leaves 3 |
| 13 | 8000 ÷ 13 | leaves 5 |
| 17 | 8000 ÷ 17 | leaves 10 |
| 19 | 8000 ÷ 19 | leaves 1 |
| 23 | 8000 ÷ 23 | leaves 19 |
| 29 | 8000 ÷ 29 | leaves 25 |
| 31 | 8000 ÷ 31 | leaves 2 |
| 37 | 8000 ÷ 37 | leaves 8 |
Questions
Is 8000 a prime number?
No, 8000 is not a prime number. It is divisible by 2: 8000 = 2 × 4000.
What is the next prime after 8000?
8009.
What is the prime number before 8000?
7993.
What are the factors of 8000?
1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 125, 160, 200, 250, 320, 400, 500, 800, 1000, 1600, 2000, 4000, 8000.